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Finding the Fourth Proportional to 13,758.88, 20,639.40 and 5,438.32

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Solution

The fourth proportional to 13,758.88, 20,639.40 and 5,438.32 is: 8,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.88 : 20,639.40 = 5,438.32 : x
  2. Step 2: Convert to fraction form
    13,758.88/20,639.40 = 5,438.32/x
  3. Step 3: Cross multiply
    13,758.88x = 20,639.40 × 5,438.32
  4. Step 4: Simplify right side
    13,758.88x = 112,243,661.81
  5. Step 5: Solve for x
    x = 112,243,661.81/13,758.88
  6. Step 6: Final answer
    x = 8,157.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.